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已知f(a)的导数=3 则lim(h趋向于0) f(a+3h)-f(a-h) /h=?
人气:437 ℃ 时间:2019-10-19 15:44:59
解答
这个可以用等价无穷小代换f(a+3h) = f(a) + (3h)*f'(a) + (3h)^2*f''(a)/2!+ ...f(a-h) = f(a) + (-h)*f'(a) + (h^2)f''(a)/2!+ .相减得f(a+3h)-f(a-h) = 4h * f'(a) + O(h^2)所以f(a+3h)-f(a-h) / h = 4*f'(a) = 4*...
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